Question
X ≤ 200. Solve your inequality from part D and graph your solution on a number line.
Explain what your solution means in terms of the situation
Explain what your solution means in terms of the situation
Answers
GPT 3.5
To solve the inequality X ≤ 200, we need to find all possible values of X that are less than or equal to 200. The solution to this inequality can be graphically represented on a number line.
On the number line, we start at zero and move to the right. At the point 200, we place a solid dot to represent that X can be equal to 200. Then, we shade all the values to the left of the dot, including the dot itself, to indicate that X can be any number less than or equal to 200.
The resulting graph would have a solid dot at 200 and a shaded region to the left. The shading indicates that any value within that range, including 200, would satisfy the inequality X ≤ 200.
In terms of the situation, the inequality X ≤ 200 means that X can take any value that is less than or equal to 200. For example, if X represents the number of customers in a store, the inequality indicates that there can be up to or at most 200 customers in the store. Any value of X equal to or less than 200 would be within the allowed range.
On the number line, we start at zero and move to the right. At the point 200, we place a solid dot to represent that X can be equal to 200. Then, we shade all the values to the left of the dot, including the dot itself, to indicate that X can be any number less than or equal to 200.
The resulting graph would have a solid dot at 200 and a shaded region to the left. The shading indicates that any value within that range, including 200, would satisfy the inequality X ≤ 200.
In terms of the situation, the inequality X ≤ 200 means that X can take any value that is less than or equal to 200. For example, if X represents the number of customers in a store, the inequality indicates that there can be up to or at most 200 customers in the store. Any value of X equal to or less than 200 would be within the allowed range.